(a) Should a chi-square test for independence or a chi-square test for homogeneity be used in this setting? Explain your reasoning. (b) State an appropriate pair of hypotheses for researchers to test in this setting. OBFW High School Publishers 2020 (c) Which cell contributes most to the chi-square test statistic? In what way does this cell differ from what the null hypothesis suggests? (d) Interpret the P-value in context. What conclusion would you draw at a=0.01?

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Related questions
Question
M
Are you headed for college?
Choosing the right type of chi-square test
No
Going to college?
Yes
Chi-Square Test: Student, Teacher
Expected counts are printed below observed counts
Chi-Square contributions are printed below expected counts
Student
Teacher
Total
14
20.5-
Student
2.061
36-
PROBLEM:
A curious AP® Statistics student wondered if students in her high school would respond
differently to a teacher than to a student when asked about their intention to go to college
after high school. One hundred students from her high school volunteered to participate in
an experiment, and they were randomly assigned to have either a student or a teacher
interview them. This two-way table summarizes the data.
Interviewer
Teacher
27
20.5
2.061
400-
Yes
14
27
No
36
23
Total
50
50
100
Assume that the conditions for performing inference are met. Minitab output for a chi-
square test using these data is shown.
23
29.5
1.432
50
200-
Total
41
6
SKILLS 1.E, 4.E
.
Total
41
59
•
59
100
20
40
60
80
29.5
1.432
50
Chi-Sq = 6.986, DF = 1, P-Value = 0.008
(a) Should a chi-square test for independence or a chi-square test for homogeneity be used
in this setting? Explain your reasoning.
(b) State an appropriate pair of hypotheses for researchers to test in this setting.
100
OBFW High School Publishers 2020
(c) Which cell contributes most to the chi-square test statistic? In what way does this cell
differ from what the null hypothesis suggests?
(d) Interpret the P-value in context. What conclusion would you draw at a=0.01?
with a
jal
Transcribed Image Text:M Are you headed for college? Choosing the right type of chi-square test No Going to college? Yes Chi-Square Test: Student, Teacher Expected counts are printed below observed counts Chi-Square contributions are printed below expected counts Student Teacher Total 14 20.5- Student 2.061 36- PROBLEM: A curious AP® Statistics student wondered if students in her high school would respond differently to a teacher than to a student when asked about their intention to go to college after high school. One hundred students from her high school volunteered to participate in an experiment, and they were randomly assigned to have either a student or a teacher interview them. This two-way table summarizes the data. Interviewer Teacher 27 20.5 2.061 400- Yes 14 27 No 36 23 Total 50 50 100 Assume that the conditions for performing inference are met. Minitab output for a chi- square test using these data is shown. 23 29.5 1.432 50 200- Total 41 6 SKILLS 1.E, 4.E . Total 41 59 • 59 100 20 40 60 80 29.5 1.432 50 Chi-Sq = 6.986, DF = 1, P-Value = 0.008 (a) Should a chi-square test for independence or a chi-square test for homogeneity be used in this setting? Explain your reasoning. (b) State an appropriate pair of hypotheses for researchers to test in this setting. 100 OBFW High School Publishers 2020 (c) Which cell contributes most to the chi-square test statistic? In what way does this cell differ from what the null hypothesis suggests? (d) Interpret the P-value in context. What conclusion would you draw at a=0.01? with a jal
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